If you can opt out of government, you can opt out of the consequences of hurting other people's freedoms. If you can't opt out of them, then government is forced upon you.So you have two choices - allows individuals to limit and destroy other people's freedoms and rights, or give up a bit of freedom so you have some form of governance.

Non-sequitur. You're assuming that those who opt-out of any government means they are opting out of hurting other people's freedoms. The true anarchist believes in absolute freedom and that no individual should have power over others.

In any case, the State is force so by supporting the State you are essentially saying its ok to be forced for the sake of some protection of freedom, which is also wishful thinking. Every State on Earth has eventually turned into a totalitarian State eventually bringing down Society with it.

So how we organize society is a separate issue to how we think we should treat animals despite the fact that the two issues certainly have an area of interface.

Both deal with conscious beings. Not sure how one can assume that humans need to be forced so they don't force others, and that animals on the other hand should not be consumed or enslaved. Seems contradictory.